This may seem humane and a great idea but if the undocumented or illegal aliens were 35,000,000 instead of 3500 then it would be a problem and a major one at that. Considering that the population of Finland is about 5 million.
The USA has more illegal aliens than Finland, Sweden, Denmark and Norway has legal citizen. Why not attempt to fix the problems in the country where the citizens are moving from instead of changing the laws of the country they come to! Now there is a dangerous circumstance.

Via Yle Uutiset: Public health services proposed for undocumented aliens. A report commissioned by the Ministry of Social Affairs and Health proposes that public healthcare services be made available to undocumented aliens. If implemented, the State would reimburse local governments for extra co...